Various Problems in Approximation by Linear Positive Operators - Softcover

Sharma, Prerna; Sharma, Diwaker; Singh, Bhim

Softcover

ISBN 10: 6204750550 ISBN 13: 9786204750552

Verlag: LAP LAMBERT Academic Publishing, 2022

Inhaltsangabe

The approximation of functions by algebraic polynomials, trigonometric polynomials and splines, is not only an important topic of mathematical studies but also provides powerful mathematical tools to represent non-arithmetic quantities by arithmetic quantities to achieve the accuracy to a desired degree. The role of linear positive operators is very important in the approximation theory. The theorem given by Weierstrass is the basis of theory of approximation for the functions of real variable and has huge importance in the whole of mathematical analysis.The main purpose of this book is to study the some problems in approximation by linear positive operators. We estimate the rate of convergence for these operators for functions having derivatives of bounded variation. We also studied the new type of Stancu generalization of modified Beta operators and established some moments and recurrence relations as well as study some approximation properties and asymptotic formula for the above operators which gave some better error estimations for the operators by using King's approach. We also find an asymptotic formula and error estimate in terms of higher order modulus of continuity.

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2022
• Sprache: Englisch
• ISBN 10: 6204750550
• ISBN 13: 9786204750552
• Einband: Tapa blanda
• Anzahl der Seiten: 132
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar